12 is 90% of what number? Round to the tenth is necessary.

The distance of the final position from the starting point is 20.2 m and the direction of a line connecting the starting point to the final position is 196.7∘ south of west.

Given information:

A=11.0 m in a direction θ1​=17∘ west of northB=23.0 m in a direction θ2​=45.0∘ south of west

The figure is as shown below:Vector addition of A and B results in the resultant vector R.

The vector R points from the origin (starting point) to the final position.

The magnitude of R gives the distance from the starting point to the final position.

According to the given figure,θ1​=17∘ west of north, θ2​=45.0∘ south of west

Firstly, let's find the x and y components of A.

A=11.0 m in a direction θ1​=17∘ west of north.x component of A, Ax= Asinθ1​=11.0sin(17∘)=3.04my component of A, Ay=Acosθ1​=11.0cos(17∘)=10.33m

Similarly, let's find the x and y components of B.B=23.0 m in a direction θ2​=45.0∘ south of west.x component of B, Bx= Bcosθ2​=23.0cos(45∘)=16.26my component of B, By=−Bsinθ2​=−23.0sin(45∘)=−16.26m [Negative since it is in the opposite direction to the positive y-axis]

Let's add the x and y components of A and B respectively to get the x and y components of R.R= A+Bx component of R, Rx=Ax+Bx=3.04+16.26=19.3my component of R, Ry=Ay+By=10.33−16.26=−5.93m [Negative since it is in the opposite direction to the positive y-axis]

Now, the magnitude of R is, |R|=√(Rx2+Ry2)=√(19.32+(-5.93)2)=20.2m

Therefore, the distance from the starting point to the final position is 20.2 m.Now, let's find the direction of R. It is given that the direction of R is in degrees south of west.

Therefore, let's find the angle θ that R makes with the positive x-axis, then the direction of R would be (180-θ)∘ south of west.θ=tan−1⁡(RyRx)=tan−1⁡(−5.9319.3)=−16.7∘

Therefore, the direction of R is (180-θ)∘ south of west= (180-(-16.7))∘ south of west=196.7∘ south of west [Rounding to one decimal place]

Hence, the distance of the final position from the starting point is 20.2 m and the direction of a line connecting the starting point to the final position is 196.7∘ south of west.

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1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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Answer:

$27.17

Step-by-step explanation:

Regular price of necklace = $44

If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%

⇒ 65% of $44

= 0.65 × $44

= $28.60

If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%

⇒ 95% of $28.60

= 0.95 × $28.60

= $27.17

Therefore:

The sale price with a 35% discount is $28.60

The sale price with an additional 5% discount is $27.17

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Given :-

The regular price of necklace = $44

Discount on necklace = 35%

Additional save from necklace = 5%

Solution :-

First we have to found the prize of necklace that Amantha had bought at 35% discount

To find this, there is a formula

\(new \: price = real \: price - (discount \: percentage \times real \: price) \)

Now we will put our value in this formula

\( = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:\)

Now will deduct the additional discount from this price by using same formula

\( = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17\)

Result :-

She spend $27.17 on buying the necklace

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

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As per the mentioned informations, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a body-centered cubic (BCC) crystal

In a body-centered cubic (BCC) crystal, there are 12 slip systems of the {110} type. Each of these slip systems is associated with a unique slip plane.

To understand why there are 12 slip systems, consider that the {110} plane has two perpendicular <111> directions, which are the directions of maximum atomic density in a BCC crystal. Each of these <111> directions can be associated with four equivalent {110} slip planes, which intersect at a line that lies along the <111> direction.

Therefore, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a BCC metal.

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Answer:

1492.885

Step-by-step explanation:

the whole circle has 360°  and an area of pi*r² =pi*24²=pi* 576

for 360°  and A=pi*576

for 360-63= 297°  and A= (297*576*pi) / 360 = 1,492.885 m²

Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.

To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.

First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.

Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.

By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.

Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.

Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.

By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.

Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.

Therefore, (a, b) ∈ R implies (a, b) ∈ R2.

We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.

If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.

To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.

In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.

Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.

In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.

However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.

This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.

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Answer:

this is as test

Step-by-step explanation:

Answer:

I think it's A. multiply the denominator by the whole number the add the numerator to the number you got. that would give you 15/4 since it's an improper fraction see how many groups of 2 is in 15 which would give you 7.

Answer:

B:

Step-by-step explanation:

DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.

The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).

Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.

In contrast, the other modes of entry mentioned have varying levels of control:

a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.

b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.

c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.

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The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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Answer:

35 Floors in 6 Hours

Step-by-step explanation:

20 / 4 = X Floors Per Hour

floors per hour = 5

6*5 = 35 Floors

The solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

The equation 4x^2 - 20x + 25 = 10 can be rewritten as 4x^2 - 20x + 15 = 0. To find the solutions to this equation, we can factor it or use the quadratic formula.

The equation factors as (2x - 5)(2x - 3) = 0. Setting each factor equal to zero, we get 2x - 5 = 0 and 2x - 3 = 0. Solving these equations, we find x = 5/2 and x = 3/2.

Using the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (-b ± sqrt(b^2 - 4ac)) / 2a, we can determine the solutions.

In this case, a = 4, b = -20, and c = 15. Substituting these values into the quadratic formula, we get x = (-(-20) ± sqrt((-20)^2 - 4 * 4 * 15)) / (2 * 4), which simplifies to x = (20 ± sqrt(400 - 240)) / 8.

Simplifying further, we have x = (20 ± sqrt(160)) / 8, which becomes x = (20 ± 4sqrt(10)) / 8. Finally, simplifying again, we obtain x = 5/2 ± sqrt(10)/2, which gives us the same solutions as before: x = 5/2 and x = 3/2.

Therefore, the solutions to the equation 4x^2 - 20x + 25 = 10 are x = 5/2 and x = 3/2.

To find the solutions to the equation, we can either factor it or use the quadratic formula. In this case, factoring and using the quadratic formula both yield the same solutions: x = 5/2 and x = 3/2. These values of x satisfy the equation 4x^2 - 20x + 25 = 10 when substituted back into the equation.

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Answer:

I think of having 81inches

Answer:

Based on the definition of an isosceles triangle, the measure of angle L is: 43°

An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.

Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.

If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).

This implies that: m∠M = 43°

In summary, based on the definition of an isosceles triangle, the measure of angle M is: 43°

The expected value on playing this game is -5/36.

Given: 2 gold marbles, 9 silver marbles, and 24 black marbles.If it is gold, you win $3. If it is silver, you win $2. If it is black, you lose $1.

To find: Expected value on playing the game

Chance of occurrence of  gold = 1/36

Chance of occurrence of silver = 9/36

Chance of occurrence of  black = 26/36

On multiplying the given probability of occurence with the amount you would lose or win

we get,

1/36 * 3 + 9/36 * 2 - 26/36 * 1

3/36 + 18/36 - 26/36

=$ -5/36

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Answer

2x-3

Step-by-step explanation:

given:

−4x² y+5x+5−3x+4x² y−8

=−4x² y+4x² y+5x-3x+5-8

=2x-3

hope it helps!!

Let's simplify step-by-step.

(−4x2)(y)+5x+5−3x+4x2y−8

=−4x2y+5x+5+−3x+4x2y+−8

Combine Like Terms:

=−4x2y+5x+5+−3x+4x2y+−8

=(−4x2y+4x2y)+(5x+−3x)+(5+−8)

=2x+−3

=2x-3

Answer:

1.6 hours so 96 minutes

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

Se me hace que es 1843200

Step-by-step explanation:

Espero que te ayude esto un poco :)

Answer:

                                                                  n      

Step-by-step explanation:

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Step-by-step explanation:

Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation: